Brittny Vongdara & Catalina Albury
9/26/2022
March 2021
Disproportionality Index: a measure of fair representation
\[\frac{\%_{Group\: X; \:salary\: range \: i}}{\% _{All \:Employees; \:salary\: range \: i}} = DI _{Group\:X; \:salary\:range\:i}\] * For example, 23.3% of Black employees and 16.7% of all employees are are within the <60K salary range.
\[ DI_{Black \: employees; <60K } =\frac{23.3\%}{16.7\%} = 1.40\]
The dotted line represents equitable representation. It can been seen that Black employees are overrepresented at the lower salary ranges and underrepresented at higher ranges compared to the other groups. As can be seen by the “All Non-Minority Employees” bars, an equal DI across all salary ranges should be expected.
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Here, DI is subtracted from 1 to calculate a DI Share metric, meaning that 0 rather than 1 would represent equitable representation. Each column is coloured based on if the DI Share is negative or positive.
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This plot zooms in on our “baseline” group and compares it to the Black employee group, which appears to be the most affected by inequity. A steady decrease in representation with each increase in salary range is clearly visible for the Black employee group.
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